TECHNICAL REPORTS

Any of the technical reports below may be obtained by contacting rdaileda at trinity.edu. If interested in submitting a report, please read the submission instructions.

• 118 A. Bertuch, P. Olofsson, Modeling growth and telomere dynamics in Saccharomyces cerevisiae, September 2009.
• 117 P. Olofsson, Shortening of telomeres, sigmoidal growth curves, and general branching processes, August 2009.
• 116 T. McDonald and P. Olofsson, A stochastic model of cell cycle desynchronization, August 2009.
• 115 R. Daileda, R. Krishnamoorthy and A. Malyshev, Maximal Class Numbers of CM Number Fields, July 2009.
• 114 S. Elaydi, R. Luis and H. Oliveira , Towards a theory of periodic difference equations and its application to population dynamics, July 2009.
• 113 S. Elaydi, R. Luis and H. Oliveira, An economic Economical Model with Allee effect, April 2008.
• 112 S. Elaydi and R. Sacker, Population Models with Allee Effect:  A New Model, February 2009.
• 111 S. Elaydi, R. Luis and H. Oliveira, Nonautonomous periodic systems with Allee effects, February 2009.
• 110 P. Olofsson, Size-biased branching population measures and the multi-type x log x condition, June 2008.
• 109 E. Cabral Balreira, Incompressibility and Global Inversion, June 2008.
• 108 R. Acosta, W. Brick, A. Hanna, A. Holder, D. Lara, G. McQuilen, D. Nevin, P. Uhlig and B. Salter, Radiotherapy optimAl Design: An Academic Radiotherapy Treatment Design System, June 2008.
• 107 G. Lim, J. Reese and A. Holder, Fast and Robust Techniques for the Euclidean p-Median Problem with Uniform Weights, May 2008.
• 106 P. Bezandry, T. Diagana and S. Elaydi, On the Stochastic Beverton-Holt Equation with Survival Rates, August 2007.
• 105 E. Cabral Balreira, Foliations and Global Inversion, June 2007.
• 104 S. Elaydi, E. Messina and A. Vecchio, A Note on the Asymptotic Stability of Linear Volterra Difference Equations of Convolution Type, February, 2007.
• 103 E. Almaas, A. Holder and K. Livingstone, An Introduction to Systems Biology for Mathematical Programmers, January, 2007.
• 102 A. Holder, G. Lim and J. Reese, The Relationship Between Discrete Vector Quantization and the P-Median Problem, January, 2007. (supporting materials)
• 101 S. Elaydi, Stability and Asymptoticity of Volterra Difference Equations: A Progress Report, July 2006.
• 100 Z. AlSharawi, J. Angelos, and S. Elaydi, Existence and Stability of Periodic Orbits of Periodic Difference Equations with Delays, June, 2006.
• 99 T. Diagana, S. Elaydi, and A. Yakubu, Population Models in Almost Periodic Environments, June, 2006.
• 98 P. Blain, C. Davis, A. Holder, J. Silva, and C. Vinzant, Diversity Graphs, October, 2006.
• 97 R. Acosta, M. Ehrgott, A. Holder, D. Nevin, J. Reese, and B. Salter Comparing Beam Selection Strategies in Radiotherapy Treatment Design: The Influence of Dose Point Resolution, November 2005. (supporting materials)
• 96 J. Reese, Methods for Solving the p-Median Problem: An Annotated Bibliography, August 2005. (supporting bibliography)
• 95 M. Ehrgott, A. Holder and J. Reese, Beam Selection in Radiotherapy Design, August 2005. (supporting materials)
• 94   Z. AlSharawi, J. Angelos, S. Elaydi, and L. Rakesh, An Extension of Sharkovsy's Theorem to Periodic Difference Equations, March 2005.
• 93   S. Elaydi and R. Sacker, Skew-product dynamical systems: Applications to difference equations, October 2004.
• 92   S. Jang and S. Elaydi, Difference Equations from Discretization of a Continuous Epidemic Model with Immigration of Infectives, September 2004.
• 91   S. Elaydi and R. Sacker, Periodic Difference Equations, Population Biology and the Cushing-Henson Conjectures, September 2004.
• 90   G. Salazar, Characterizations of (F^k_q, F_s)- polynomials, August 2004.
• 89   R. Ellis, V. Ponomarenko, and C. Yan, The Renyi-Ulam Pathological Liar Game with Fixed Number of Lies, July 2004.
• 88   A. Holder and D. LLagostera, Optimal Treatments for Photodynamic Therapy, July 2004.
• 87   S. Elaydi and R. Sacker, Nonautonomous Beverton-Holt equations and the Cushing-Henson Conjectures, July 2004.
• 86   A. Holder and B. Salter, A Tutorial on Radiation Oncology and Optimization, April 2004.
• 85   A. Hernandez-Garduno, J. Lawson, and J. Marsden, Relative Equilibria for the Generalized Rigid Body, April 2004.
• 84   D. Cheek, A. Holder, B. Salter, and M. Fuss, The Relationship Between the Number of Shots and the Quality of Gamma Knife Radiosurgeries, April 2004.
• 83   L. Cayton, R. Herring, A. Holder, J. Holzer, C. Nightingale, and T. Stohs, Asymptotic Sign-Solvability, Multiple Objective Linear Programming, and The Nonsubstitution Theorem, February 2004.
• 82   C. Letellier, S. Elaydi, L. Aguirre, and A. Alaoui, Difference Equations Versus Differential Equations, a Possible Equivalence for the Rossler System, January 2004.
• 81   S. Elaydi and R. Sacker, Global Stability of Periodic Orbits of Nonautonomous Difference Equations in Population Biology and the Cushing-Henson Conjectures, December 2003.
• 80   B. Finklea, T. Moore, V. Ponomarenko, and Z. Turner, Invariant Polynomials and Minimal Zero Sequences (with associated Excel File), October 2003.
• 79   A. Behn, C. Kribs Zaleta, and V. Ponomarenko, The Convergence of Difference Boxes, October 2003.
• 78   J. Cuomo, N. Nwasokwa, and V. Ponomarenko, Jump Systems and Manhattan Polytopes, April 2003.
• 77   V. Ponomarenko, Faa di Bruno's Formula and Nonhyperbolic Fixed Points of One-Dimensional Maps, April 2003.
• 76   S. Chapman and V. Ponomarenko, On Image Sets of Integer-Valued Polynomials, March 2003.
• 75   S. Elaydi, Nonautonomous Difference Equations: Open Problems and Conjectures, July 2003.
• 74   S. Elaydi and R. Sacker, Global Stability Orbits of Non-Autonomous Difference Equations and Population Biology, July 2003.
• 73   C. Davis and A. Holder, Haplotyping and Minimum Diversity Graphs, July 2003.
• 72   B. Aulbach, S. Elaydi, and K. Ziegler, Asymptotic Solutions of a Discrete Schrodinger Equation Arising from a Dirac Equation with Random Mass, May 2003.
• 71   S. Elaydi and R. Sacker, The Basin of Attraction of One-Dimensional Maps, May 2003.
• 70   A. Holder, Radiotherapy Treatment Design and Linear Programming, September 2002.
• 69   L. Holder, Conic Blocking Sets in Desarguesian Projective Planes, August 2002.
• 68   F. Dannan, S. Elaydi, and V. Ponomarenko, Stability of Hyperbolic and Non Hyperbolic Fixed Points of One-Dimensional Maps, August 2002.
• 67   V. Lyubashevsky, C. Newell, and V. Ponomarenko, Geometry of Jump Systems, April 2002.
• 66   V. Ponomarenko, DRILL (Depository of Repetitive Internet-Based probLems and Lessons), April 2002.
• 65   A. Holder, Simultaneous Data Perturbations and Analytic Center Convergence, April 2002.
• 64   R. Hasfura, A. Holder, and J. Stuart, The Asymptotic Optimal Partition and Extensions of The Nonsubstitution Theorem, March 2002.
• 63   A. Holder, Navy Personnel Planning and the Optimal Partition, March 2002.
• 62   R. Hasfura-B and P. Lynch, Periodic Points of the Family of Tent Maps, December 2001.
• 61   J. Lawson, A Frame Bundle Generalization of Multisymplectic Momentum Mappings, November 2001, Revised July 2003.
• 60   F. Dannan and S. Elaydi, Asymptotic Stability of Linear Difference Equations of Advanced Type, October 2001.
• 59   S. Elaydi, Is the World Evolving Discretely?, October 2001.
• 58   R. Abu-Saris, S. Elaydi, and S. Jang, Poincare Types Solutions of Systems of Difference Equations, October 2001.
• 57   V. Ponomarenko, Mimeomatroids, October 2001.
• 56   H. Rosson, Theta Series of Quaternion Algebras over Function Fields, October 2001.
• 55   H. Rosson, J. Wilson, and B. Ellison, Trees, Hecke Operators, and Quadratic Forms, October 2001.
• 54   A. Holder, Partitioning Multiple Objective Solutions with Applications in Radiotherapy Design, September 2001.
• 53   A. Brown, A. Gedlaman, A. Holder, and S. Martinez, An Extension of the Fundamental Theorem of Linear Programming, September 2001.
• 52   S. Elaydi and A. Yakubu, Global Stability of Cycles: Lotka-Volterra Competition Model with Stocking, April 2001.
• 51   S. Chapman and U. Krause, The Cale property in integral domains and monoids, August 2000.
• 50   V. Ponomarenko, Reduction of Jump Systems, August 2000.
• 49   A. Holder, Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods, May 2000.
• 48   A. Holder, J. Sturn, and S. Zhang, Marginal and Parametric Analysis of the Central Optimal Solution, October 1999.
• 47   S. Elaydi, Asymptotics for Linear Difference Equations II: Applications, April 1999.
• 46   S. Elaydi, Discrete Competitive & Cooperative Models of Lotka-Volterra Type, March 1999.
• 45   S. Elaydi, Difference Equations in Combinatorics, Number Theory, and Orthogonal Polynomials, December 1998.
• 43   S. Chapman, U. Krause, and E. Oeljeklaus, Monoids Determined by a Homogenous Linear Diophantine Equation and the Half-Factorial Property, December 1997.
• 42   S. Chapman, M. Freeze, and W. Smith, Equivalence Classes of Minimal Zero-Sequences Modulo a Prime, September 1997.
• 40   S. Chapman and W. Smith, Generalized Sets of Lengths, June 1997.
• 39   S. Elaydi and S. Murakami, Uniform Asymptotic Stability in Linear Volterra Difference Equations, January 1997.
• 38   D. Anderson, S. Chapman, and D. Kwak, Integral Domains with Highly Nonunique Factorization, November 1996.
• 37   J. Chabert, S. Chapman, and W. Smith, The Skolem Property in Rings of Integer-Valued Polynomials, November 1996.
• 36   D. Anderson, S. Chapman, F.Koch, M. Zafrullah, Criteria for Unique Factorization in Integral Domains, July 1996.
• 35   J. Chabert, S. Chapman, and W. Smith, Algebraic Properties of the Ring of Integer-Valued Polynomials on Prime Numbers, July 1996.
• 34   S. Chapman and A. Geroldinger, Krull Domains and Monoids, their Sets of Lengths and Associated Combinatorial Problems, July 1996.
• 32   S. Elaydi, G. Papaschinopoulos, and J. Schinas, Asymptotic Theory for Noninvertible Systems, May 1996.
• 31   M. Awartani and S. Elaydi, An Extension of Chaotic Dynamics to General Topological Spaces, March 1996.
• 30   S. Elaydi and S. Murakami, Asymptotic Stability versus Exponential Stability in Linear Volterra Difference Equations of Convolution Type, August 1995.
• 29   S. Chapman and W. Smith, Generators of Maximal Ideals in the Ring of Integer-Valued Polynomials, August 1995.
• 28   S. Chapman and A. Geroldinger, On Cross Numbers of Minimal Zero Sequences, July 1995.
• 27   S. Chapman and W. Smith, Finite Cyclic Groups and the k-HFD Property, June 1995.
• 26   P. Cahen, S. Chapman, K. Roegner, and W. Smith, Two Classes of Ideals Determined by Integer-Valued Polynomials, May 1995.
• 25   J. Chabert, S. Chapman, and W. Smith, A Basis for the Rings of Polynomials Integer-Valued on Prime Numbers, May 1995.
• 23   S. Elaydi, An Extension of Levinson's Theorem to Asymptotically Jordan Difference Equations, June 1995.
• 21   S. Elaydi, >Stability of Integrodifferential Systems of Nonconvolution Type, January 1995.
• 19   D. Anderson, P. Cahen, S. Chapman, W. Smith, Some Factorization Properties of the Ring of Integer-Valued Polynomials, September 1994.
• 17   S. Chapman and W. Thill, On a Generalization of a Theorem of Zaks and Skula, April 1994.
• 15   D. Anderson, S. Chapman, and W. Smith, On Krull Half-Factorial Domains w/Infinite Cyclic Divisor Class Group, June 1993.
• 14   D. Anderson, S. Chapman, and W. Smith, Factorization Sets and Half-Factorial Sets in Integral Domains, April 1993.
• 13   S. Elaydi, Asymptotic Theory of Linear Difference Equations, March 1993.
• 10   S. Elaydi and S. Zhang, Periodic Solutions of Volterra Difference Equations w/Infinite Delay II: The Nonlinear Case, December 1992.
• 9     D. Anderson, S. Chapman, F. Inman, and W. Smith, Factorization in K[x²,x³], November 1992.
• 7     W. Trench, Some Special Properties of Hermitian Toeplitz Matrices, November 1992.
• 6     S. Elaydi and V. Kocic, Global Stability of Nonlinear Volterra Difference Equations, October 1992.
• 5     D. Anderson, S. Chapman, W. Smith, Some Factorization Properties of Krull Domains w/Infinite Cyclic Divisor Class Group, September 1992.
• 4     W. Trench, Interlacement of the Even and Odd Spectra of Real Symmetric Toeplitz Matrices, August 1992.
• 3     S. Elaydi and S. Zhang, Periodic Solutions of Volterra Difference Equations w/Infinite Delay I: The Linear Case, July 1992.
• 2     S. Elaydi and S. Zhang, >Stability and Periodicity of Difference Equations with Infinite Delay, June 1992.
• 1     D.F. Anderson, S.T. Chapman, and W. Smith, Overrings of Half-Factorial Domains, June 1992.